Lauren Silverman, the woman believed to be pregnant with Simon Cowell’s child, is allegedly demanding control of his properties and her own reality TV show.

The 36-year-old socialite, who is still married to Si’s former friend Andrew Silverman, is also hankering for the 53-year-old The X Factor mastermind to pop the question if he want access to his first born.

According to the Daily Mail, a source claimed: ‘Lauren is now going around telling people that she will be in charge of all his properties around the world and has demanded a country home in the Cotswolds.

‘She has also threatened not to allow him access to the child unless he marries her.

‘Lauren has also started to push Simon to turn her into a reality TV star. She wants her own show like the Kardashians and has already apparently started filming the pregnancy.’

But despite the outrageous demands, Simon appears to have taken the news in his stride.

The source continued: ‘He is already talking about creating separate baby wings in all his homes for Lauren and the baby.

‘His mansions are huge and he will effectively be allowed to carry on with his own life without disruption.

‘He has no problems looking after his heir apparent – that is all he is interested in and he will ensure Lauren has a roof over her head in order to raise his child.’

She showed off the beginnings of her baby bump as she left her mother’s Hamptons home yesterday (Picture: INFphoto.com)

Although all parties involved have refused to comment on the sensational claims, Mr Silverman allegedly named Cowell in the divorce papers that he filed at Manhattan’s Supreme Court on July 15.

And with a paternity test on the cards and a messy divorce case already in the pipeline, it’s all proving a bit too much for the TV magnate.

A source close to Cowell told the Daily Mail: ‘This has all turned into a mess for him. This is not the way in which he wanted it to come out. He is now worried about the sponsorship deals he has for his various shows.

‘Companies like Pepsi are not going to be pleased with the headlines about Cowell fathering a child with a married woman.

‘His sponsors could argue that he has brought their brands into disrepute.

‘Many aren’t particularly happy about being associated with his shows as they are struggling with ratings and they could now use this as an excuse to break out of their contracts. Simon is now worried he may lose valuable sources of income.’

Simon may have to spill the beans on his ‘affair’ with the US socialite after he was named in the divorce papers filed by her husband (Picture: INFphoto.com)

Other sources claim Cowell was keen to thrash out an agreement with Lauren, who he has been friends with for a number of years, before she went public with the news.

‘Simon was hoping to reach a financial agreement with her and then release a joint statement but Lauren is savvy and wants to be famous and when he refused her opening demands for marriage she leaked it,’ an insider revealed.

In the meantime both Lauren and her husband have said their seven-year-old son remains their utmost priority.

She said in a statement: ‘I am committed to sorting things out with Andrew as amicably as possible to ensure the well-being of our son. I would hope for some space and privacy in order to work through this.’

And Mr Silverman, who allegedly learned his wife was expecting Cowell’s baby last month and has filed for a divorce on the grounds of adultery, echoed her message.

‘My top priority is protecting my seven-year-old son while working to resolve all outstanding issues with my wife. Hopefully people can respect the interest of our child during this process,’ he said.